Question

The graph shown below expresses a radical function that can be written in the form f(x) = a(x + k). What does the graph tell you about the domain and the range of this function?

a. The domain is (-0,k), and the range is (C,C).
b. The domain is [C,), and the range is [ – k,cs).
c.. The domain is I - k.), and the range is (-0,0).
d. The domain is (-0,9), and the range is (-C.).

Answer 1

The domain and range given in the question do not apply to a horizontal line representing a constant function. For a constant function graphed between x=0 and x=20, the domain would be [0, 20], and the range would consist of a single value, which is the constant value of the function.

Step-by-step explanation:

None of the options provided correctly describes the domain and range of the radical function described by the graph. Since the function is a horizontal line between x = 0 and x = 20, and the value of f(x) is not changing, this is indicative of a constant function. Therefore, regardless of the value of 'a' and 'k' in the given radical function f(x) = a(x + k), the graph suggests the function is constant over the interval. The domain of a constant function in this context would be [0, 20], since these are the values of x for which the function is defined. The range would be a single value, the constant value that f(x) is equal to over the domain.